Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
142 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 51 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #20295430 | C2 | semidirect |
| 3. #20294854 | C2 | semidirect |
| 4. #20294853 | C2 | semidirect |
| 5. #20294844 | C2 | semidirect |
| 30. D8×C109 | Q8 | semidirect |
| 64. C109 | #2226 | semidirect |
| 87. D8 | Dic218 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295430 | 2 |
| D8×Dic109 | 2 |
| #20294854 | 2 |
| #20294853 | 2 |
| #20294844 | 2 |
| #20294827 | 2 |
| #357×C109 | 2 |
| #2226 | 109 |